| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
A(n) __________ is two expressions separated by an equal sign.
equation |
|
expression |
|
problem |
|
formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Solve for x:
-2x - 2 = \( \frac{x}{-8} \)
| \(\frac{3}{4}\) | |
| \(\frac{8}{35}\) | |
| 2\(\frac{2}{5}\) | |
| -1\(\frac{1}{15}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-2x - 2 = \( \frac{x}{-8} \)
-8 x (-2x - 2) = x
(-8 x -2x) + (-8 x -2) = x
16x + 16 = x
16x + 16 - x = 0
16x - x = -16
15x = -16
x = \( \frac{-16}{15} \)
x = -1\(\frac{1}{15}\)
Simplify (6a)(4ab) - (3a2)(5b).
| 9a2b | |
| 80ab2 | |
| 39ab2 | |
| 80a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(6a)(4ab) - (3a2)(5b)
(6 x 4)(a x a x b) - (3 x 5)(a2 x b)
(24)(a1+1 x b) - (15)(a2b)
24a2b - 15a2b
9a2b
The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 4, and h = 3. What is the area?
| 13\(\frac{1}{2}\) | |
| 9 | |
| 24 | |
| 12 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 4)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)
If BD = 17 and AD = 25, AB = ?
| 8 | |
| 12 | |
| 1 | |
| 2 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD